Question

Please give me an right answer and explain pleaseeee!!! And set up and equation before solving !

The difference between two numbers is 4. The sum of the smaller number and three times the larger number is 36. What are the two numbers?

Answer 1

The two numbers are 6 and 10.

Explanation:

First, you have to form equations. With the given informations, let x be the larger number and y be the smaller number, the equations will be :

x - y = 4

3x + y = 36

Next, you have to solve the simultaneous equations :

x - y = 4 ---------- (1)

3x + y = 36 ------- (2)

(2) + (1)

3x + y + x - y = 36 + 4

4x = 40

x = 10

Substitute x = 10 into (2)

3(10) + y = 36

30 + y = 36

y = 36 - 30

y = 6